Answer:
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Step-by-step explanation:
In 75 minutes you travelled 30 kilometers, so the rate is 30/75=0.4km/minute
another way is to use the two points to find the slope: m=(30-0)/(75-0)=0.4
The exact values of the trigonometric identities cos, csc and tan as required in the task content are; -√41/5, -√41/4 and 4/5 respectively.
<h3>What are the exact values of cos, csc and tan as required in the task content?</h3>
It follows from above that the terminal side of the angle theta as described is on the point with coordinates (-5, -4).
Hence, the points spans 5 units leftwards and r units downwards on x and y axis respectively.
Hence, the length of the line that describes the angle by Pythagoras theorem is;
h = √((-4)² + (-5)²)
h = √41.
Hence, it follows from trigonometric identities that;
Cos (theta) = -5/√41.
Csc (theta) = -√41/4
Tan (theta) = 4/5
Read more on trigonometric identities;
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8.5 feet(12 inches per foot)= 102 inches total
There are 102 inches in 8.5 feet